A spinner is divided into six equal-sized sectors labeled 1 through 6. Dwayne spins this spinner 12 times. Let X

represent the number of 1s that are spun. What are the mean and standard deviation of X?

O Wx = 1, 0x = 1.29

O x = 2,04 = 1.29

OH, = 2,0x = 1.67

O Mx = 10,0x = 2.78

Answers

Answer 1

Answer:

b) μ = 2 and σ = 1.29

Step-by-step explanation:

Step(i):-

Given that the A spinner is divided into six equal-sized sectors labelled 1 through 6

Given that the probability of labelled '1'

                      [tex]p = \frac{1}{6}[/tex] =0.16

                     q = 1-p =  1- 0.16 = 0.84

Let 'X' be a random variable in binomial distribution

The mean of the binomial distribution

      μ = n p

     μ  =  [tex]12 (\frac{1}{6} ) = 2[/tex]  

The mean of the binomial distribution  = 2

Step(ii):-

The standard deviation of X

                σ [tex]= \sqrt{npq}[/tex]

               σ = [tex]\sqrt{12(0.16)(0.84}[/tex]

                  σ = [tex]1.269[/tex]

The standard deviation of the binomial distribution

                σ = [tex]1.269[/tex]

Answer 2

Answer:

b

Step-by-step explanation:


Related Questions

What is the answer to the following?

Answers

Answer:

63

Step-by-step explanation:

Answer:

63 degrees

Step-by-step explanation:

3
:) A plane has 14 First Class seats, 70 Premium seats and 168 Economy seats
Find the ratio First Class seats : Premium seats : Economy seats.
Give your answer in its simplest form.
2​

Answers

Answer:

70-14=56     168-56=112

Step-by-step explanation:

Andrew had 30 dollars to spend on 3 gifts. He spent 8
1
4
dollars on gift A and 5
4
5
dollars on gift B. How much money did he have left for gift C?

Answers

Andrew has 17 dollars left for gift c

The side lengths of a 30-60-90 triangle are in the ratio 1:13: 2. What is
tan 60°?
A

Answers

Answer:  B.  sqrt(3)

=============================================================

Work Shown:

Refer to the diagram below. The short leg (opposite the 30 degree angle) is equal to 1 unit, the long leg is equal to sqrt(3) units, and the hypotenuse is 2 units long.

For the reference angle 60 degrees, the opposite leg is sqrt(3) units and the adjacent leg is 1 unit

tan(angle) = opposite/adjacent

tan(60) = sqrt(3)/1

tan(60) = sqrt(3)

Answer: tan 60° = √3

Step-by-step explanation: a p e x (screenshot proof)

ANSWER ASAP!!!!!!!!!!!!!!!

Answers

Answer:

linear and increasing

Step-by-step explanation:

uwu

Find the measure of CD.
Round to the nearest tenth.
mCD=[?]degrees

Answers

Answer:

m(arc CD) = 14.1 cm

Step-by-step explanation:

Measure of an arc of the circle = [tex]\frac{\theta}{360}(2\pi r)[/tex]

Here 'r' = radius of the circle

θ = Angle subtended by the arc at the center of the circle

From triangle OED,

sin(∠EOD) = [tex]\frac{ED}{OD}[/tex]

sin(∠EOD) = [tex]\frac{\frac{12.7}{2}}{9.06}[/tex]

                 = [tex]\frac{6.35}{9.06}[/tex]

                 = 0.7

m∠EOD = 44.498

              ≈ 44.5°

Angle subtended by the arc CD at the center = m∠COD

                                                                            = 2(44.5)

                                                                            = 89°

m(arc CD) = [tex]\frac{89}{360}(2\pi)(9.06)[/tex]

                 = 14.07

                 ≈ 14.1 cm

) تعتبر الدالتين و المعرفتين على R
تمثيليهما البيانيين (C) و(C) على التوالي.
(أنظر الشكل المقابل)
(C)
بقراءة بيانية:
عين (0) ، (1)، (3) ، (0)g
g(3) ،g (1)
* عين السواق الممكنة للعدد 2- بالدالة
و للعدد 4- بالدالة g
شکل جدول تغيرات الدالة g
1
: شكل جدول إشارة الدالة .
(C)
حدد القيمين الحدين العظمى والصغرى
الدالة g على المجال [3 ;1-.
حل المعادلة و المتراجحة التالين:
f(x) = g(a)
f(x) > g(s) +​

Answers

Answer:

Can you transalate

Step-by-step explanation:

Answer this question please

Answers

Answer:

The answer is A

Step-by-step explanation:

Do on the first row, you see 1 tab of 5's

then on the left, you see 1 tab of 3's

So the answer is A!!!

What is the area of this figure?
A 806.5
B 1159.5
C 2268.5
D 4174.5

Answers

Answer:

Step-by-step explanation:

A806.5

Answer:

806.5 answer  

Step-by-step explanation:

Find the value of x. Please help!

Answers

Answer:

x = 3

Step-by-step explanation:

Using the triangle similarity theorem

x/x+3 = x+3/12

Cross multiply

12x = (x+3)(x+3)

12x = x²+3x+3x+9

12x =  x²+6x+9

x²+6x+9-12x = 0

x²-6x+9 = 0

Factorize

x²-3x-3x+9 = 0

x(x-3)-3(x-3) = 0

x - 3 = 0

x = 3 twice

Hence the value of x is 3

help plsssss ayuda pls

Answers

Answer:

PERDON POR HACER ESTO

Step-by-step explanation:

NO ENTIENDO

solve d+7=13 please!!!

Answers

Answer:

d=6

Step-by-step explanation:

d+7=13

  -7  -7

-----------

d=6

Answer:

hi

Step-by-step explanation:

[tex]d + 7 = 13 \\ d = 13 - 7 \\ d = 6[/tex]

have a nice day bye

Plz help me! I’m not sure how to do these!

Answers

Step-by-step explanation:

2. x =101

3. x= 120

4. x= 30

I am very confused in question no 1 and 5 th .

hope this will be helpful to you.

plz mark my answer as brainlist if you find it useful .

Ally and Beck went fishing and caught a total of 75 fish. At home,
Ally told Jair she caught twice as many fish as she actually caught.
Beck told Jair he caught three times as many fish as he actually
caught. If what they told Jair had been true, then Ally would have
caught 75 fewer fish than Beck. How many fish did Beck actually
catch?

Answers

Answer:

Beck actually caught 45 fish

Step-by-step explanation:

System of Equations

We call the following variables:

x = number of fish Ally caught

y = number of fish Beck caught

They caught a total of 75 fish, thus:

x + y = 75      [1]

If Ally had caught twice as much fish as she actually did, and Beck had caught three times as many fish as he actually did, then Ally would have caught 75 fewer fish than Beck, thus:

3y = 2x + 75      [2]

From [1]:

x = 75 - y      [3]

Substituting in [2]:

3y = 2(75 - y) + 75

Operating:

3y = 150 - 2y + 75

Simplifying:

5y = 225

Dividing by 5:

y = 45

Beck actually caught 45 fish

Answer:

Beck caught 45 fish

Step-by-step explanation:

a = number of fish Ally caught

b = number of fish Beck caught

They caught a total of 75 fish, so we have:

b + a = 75  

From the facts in our question we know Ally would have caught 75 fewer fish than Beck.

3b = 2a + 75  

a = 75 - b

3b = 2(75 - b) + 75

3b = 150 - 2b + 75

5b = 225

5b ÷ 5 = 225 ÷ 5

b = 45

Beck caught 45 fish.

Rowena’s monthly gasoline bill dropped from $83.75 last month to $56.95 this month. Find the percent decrease.
Round your answer to the nearest percent.
Do NOT round until you have calculated the final answer.

Answers

Answer:

The percent decrease was of 32%.

Step-by-step explanation:

The percent decrease is the decrease multiplied by 100, and divided by the initial value.

Rowena’s monthly gasoline bill dropped from $83.75 last month to $56.95 this month.

So a decrease of 83.75 - 56.95 = $26.80

Percent decrease:

26.80*100/83.75 = 32%

The percent decrease was of 32%.

surface area of a sphere with radius 19

Answers

Answer:

A≈4536.46

Step-by-step explanation:

I hope this helps! ^^

☁️☁️☁️☁️☁️☁️☁️

Answer:

Radius 19

A ≈ 4536.46 .....ans

Need help on this please

Answers

95 degrees maybe not sure tho

(1+h): - 1
A. lim
h>0
h
f(0) =
х
a =
1
B. lim
h>0
cos(1 + h) +1
h
f(3) =
a =
7T
5(4+ h)" - 5120
C. lim
h->0
h
f(x) =
a =
4
o
D. lim
h 0
e4h - 1
h
f(x) =
a =
e
Х
Pls take a look at the picture

Answers

Each of these limits correspond to the derivative of some function f(x) at a point x = a.

Recall the limit definition of a function f(x) :

f '(x) = lim [h → 0] ( f(x + h) - f(x) ) / h

Then if x = a, we get

f '(a) = lim [h → 0] ( f(a + h) - f(a) ) / h

From here, it's easy to identify what each function and point should be:

(a) f (a + h) = (1 + h)¹ʹ³   →   f(x) = x ¹ʹ³ and a = 1

(that's a 1/3 in the exponent)

(b) f (a + h) = cos(π + h)   →   f(x) = cos(x) and a = π

(c) f (a + h) = 5 (4 + h)⁵   →   f(x) = 5x ⁵ and a = 4

(d) f (a + h) = exp(4h) = exp(4 (0 + h))   →   f(x) = exp(4x) and a = 0

(where exp(x) = )

Find the 8th term of the geometric sequence 3, 12, 48, ....

Answers

Answer:

The eighth term of the geometric sequence 3, 12, 48 ... is 49,152. You just multiply every number by 4 :)

So, the required 8th term is 49152.

Geometric Series:

The Geometric series formula or the geometric sequence formula gives the sum of a finite geometric sequence.

The sequence will be of the form [tex]\{a, ar, ar^2, ar^3, ..\}[/tex]

And the formula for the nth term is [tex]t_n=ar^{n-1}[/tex]

The given series is,

3, 12, 48, ....

First term=3

The common ratio is,

[tex]\frac{12}{3}=4\\ \frac{48}{12}=4[/tex]

So, the given series is geometric series so the 8th term by the above formula is,

[tex]t_8=3\times (4)^{8-1}\\t_8=49152[/tex]

Learn more about the topic Geometric Series:

https://brainly.com/question/26042879

Help I don’t know the answer

Answers

Answer:

the last one

Step-by-step explanation:

the input cannot be negative

The last one should be correct

The bigger

the number the more

factor pairs it has.

Use examples to show that Dexter is wrong.

Answers

Answer:

See Explanation

Step-by-step explanation:

Required

Prove that Dexter is wrong

To prove that Dexter is wrong, we use the following numbers.

[tex]Number = 4[/tex]

The factors are:

[tex]Factor = 1,2\ and\ 4[/tex]

3 factors

Using a greater number:

[tex]Number = 5[/tex]

The factors are:

[tex]Factor = 1\ and\ 5[/tex]

2 factors

From the above analysis:

4 has 3 factors and 5 has 2 factors; which shows that 5 has fewer factors

This shows that Dexter is wrong

Slope is
1
2
y-intercept is 7


Asapppp. Hurrryyyy

Answers

Answer:

draw a graph and mark the point as (0,7) on the y-axis upper half since its positive.

from there the slope is rise 1 and run 2. meaning from point 7, you go up one, and slide two to the right and mark the next point and keep doing so till you have 3-5 points

The price of an item has risen to $216 today. Yesterday it was $135. Find the percentage Increase.

Answers

The percentage increase is 160%

sketch the graph of each function. Then State the domain, range and increasing, decreasing intervals. Part 3. ​

Answers

Answer:

19) Domain: - ∞ < x < ∞                    20) Domain:  - ∞ < x < ∞

Range: - ∞ < y < ∞                                  Range: - ∞ < y < ∞

Increases throughout                            Decreases throughout

Step-by-step explanation:

Given the parent function " y = ∛x" we know that the first graph should have a vertical shift down 2 units, and a horizontal shift 4 units to the right. There is no vertical stretch since there is no coefficient. (Check first graph)

Domain: - ∞ < x < ∞

Range: - ∞ < y < ∞

Increases throughout

______________________________

For the second graph there should be a vertical shift down three units, a horizontal shift 1 unit to the left, and a vertical stretch by a factor of - 1. (Check second graph)

Domain: - ∞ < x < ∞

Range: - ∞ < y < ∞

Decreases throughout

please help asap!!!
What is the decimal value of 4/11? Show long division.
How do you know that 4/11 is a repeating decimal?

Answers

Answer:

0.3636363636363636

Step-by-step explanation:

Its a repeating decimal because 4 cannot  be divided by 11

There ya' go :]

random khan question and I haven't done this in a year, I'm struggling.

Answers

Answer:

Add maybe

Step-by-step explanation:

add the 500+400+200 try that hope it helps have a great day

What is the range of the following set of data?
4, 8, 3, 5,5,7,6,4

Answers

Step-by-step explanation:

4 + 8 + 3 + 5 + 5 + 7 + 6 + 4 divided 8

42 divided 8

5,25

cmiiw!

To find range subtract the smallest # by the largest number. So 8 - 3 = 5
5 is the range for this set.

Running out of time, Could i please get help

Answers

Answer:

D

Step-by-step explanation:

For an expansion (ax+b)^c the row that will help you is the c'th one

He is using the c'th row so look for something in the form (ax+b)^15

Only one that fits is D

A deck of 52 cards contains 12 picture cards. If the 52 cards are distributed in a random manner among four players in such a way that each player receives 13 cards, what is the probability that each player will receive three picture cards

Answers

Answer:

The probability that each player will receive three picture cards = 0.0324

Step-by-step explanation:

As given,

A deck of 52 cards contains 12 picture cards

Remaining card = 52 - 12 = 40

So,

Total number of ways in which 12 picture card is distributed = [tex]\frac{12!}{3! 3! 3! 3!}[/tex]

Now,

The Total number of ways in which Remaining cards are distributed = [tex]\frac{40!}{10! 10! 10! 10!}[/tex]

So,

Total number of ways of getting 3 picture card and remaining card = [tex]\frac{12!}{3! 3! 3! 3!}[/tex]× [tex]\frac{40!}{10! 10! 10! 10!}[/tex]

= [tex]\frac{12! 40!}{(3!)^{4} (10!)^{4} }[/tex]

Now,

Total number of ways to distribute 52 cards so that each people get 13 card = [tex]\frac{52!}{13! 13! 13! 13!} = \frac{52!}{ (13!)^{4} }[/tex]

∴ The probability = [tex]\frac{\frac{12! 40!}{(3!)^{4} (10!)^{4} }}{\frac{52!}{(13!)^{4} }}[/tex]

                            = [tex]\frac{12! 40!}{(3!)^{4} (10!)^{4} }[/tex]×[tex]\frac{(13!)^{4} }{ 52! }[/tex]

                           = [tex]\frac{12! 40!}{(3!)^{4} (10!)^{4} }[/tex]×[tex]\frac{(13.12.11.10!)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41.40! }[/tex]

                           = [tex]\frac{12!}{(3!)^{4} }[/tex]×[tex]\frac{(13.12.11)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41}[/tex]

                           = [tex]\frac{479,001,600}{(6)^{4} }[/tex]×[tex]\frac{(1716)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41}[/tex]

                           = 0.0324

∴ we get

The probability that each player will receive three picture cards = 0.0324

Which expression is equivalent to
3x + 2(4y + x)?

Hurry please, thanks!

Answers

Answer:

A.

Step-by-step explanation:

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